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Bifurcation Analysis of Planar Piecewise Linear System with Different Dynamics
International Journal of Bifurcation and Chaos, 2016In this paper, we investigate the bifurcation phenomena of a planar piecewise linear system. This piecewise linear system comprises two linear subsystems. The two linear subsystems have different types of dynamics. One subsystem has node or saddle dynamic and the other has focus dynamic.
Guo, Xiaoshi +2 more
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INTEGRATION-FREE ANALYSIS OF NONSMOOTH LOCAL DYNAMICS IN PLANAR FILIPPOV SYSTEMS
International Journal of Bifurcation and Chaos, 2009In this paper, we present a novel method to analyze the behavior of discontinuous piecewise-smooth autonomous systems (denominated Filippov systems) in the planar neighborhood of the discontinuity boundary (DB). The method uses the evaluation of the vector fields on DB to analyze the nonsmooth local dynamics of the Filippov system without the ...
Arango, Ivan, Taborda, John Alexander
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Dynamical Systems and Planar Autonomous Equations
2014Basic concepts for dynamical systems are introduced. The Poincare–Bendixson theorem is proved and used to study the existence and orbital stability of periodic solutions for planar equations. Invariant manifolds for n-dimensional nonlinear equations are investigated.
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Attracting invariant curves in planar discrete dynamical systems
Bulletin of the Australian Mathematical Society, 1995We study the properties of an invariant attracting curve passing through an attracting fixed point of a planar discrete dynamical system. We compare these properties to the corresponding properties of the invariant repelling curve studied in [3] in order to determine the dynamic behaviour of the system near the fixed point.
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The stability of planar dynamical systems linear-in-cones
IEEE Transactions on Automatic Control, 1981An explicit characterization is given of stability and stabilizability for certain piecewise linear systems, i.e., systems linear-in-cones.
Pachter, M., Jacobson, D. H.
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Dynamic simulaion of multibody system with planar clearance joint
Proceedings of 2011 International Conference on Electronic & Mechanical Engineering and Information Technology, 2011A tribological analysis scheme for multibody system with clearance joints is presented by integrating frictional contact model, wear calculation with multibody dynamics. Clearance joints are modeled as a continuous contact model with friction. Progressive wear process is simulated by a widely used a finite-element-based iterative scheme.
Jin Shoufeng, Su Yuewen
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Planar dynamics and control of tethered satellite systems
2009A mathematical model is developed for studying the inplane dynamics and control of tethered two-body systems in a Keplerian orbit. The formulation accounts for: • elastic deformation of the tether in both the longitudinal and inplane trans- verse directions; • inplane libration of the flexible tether as well as the rigid platform; • time dependent ...
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Dynamics of planar and spatial rigid-body systems
2002In this chapter the equations of spatial and planar motion of unconstrained rigid bodies will be derived based on the laws of Newton and Euler (such as in standard textbooks like [44], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65]). The equations of motion will be written with respect to a general body-fixed reference point P i (P i ≠ C i ,
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Brain and other central nervous system tumor statistics, 2021
Ca-A Cancer Journal for Clinicians, 2021Kimberly D Miller +2 more
exaly
Dynamic Analysis of Planar Coulomb Friction System
Advances in Applied Mathematics, 2021openaire +1 more source